Prof. Dr. Johannes Huber

Polar Coded Modulation: A Tutorial

Zusammenfassung

The presentation starts with an introduction to coded modulation using the Multi- Level
Construction (MLC). This concept is generalized by the definition of so called "sequential binary
partitions". It is shown that Polar Codes, introduced by E. Arikan in 2007, and MLC are special
cases of sequential binary partitions and concatenations of them. This leads to a new and rather
simple proof of the capacity achieving property of Polar Codes. The derived framework allows for a
joint description and optimization of both, binary polar coding and 2^m-ary digital pulse-amplitude
modulation (PAM) schemes such as MLC and bit-interleaved coded modulation (BICM). The
conceptual equivalence of polar coding and multilevel coding is covered in detail. Based on an
alternative characterization of the channel polarization phenomenon, rules for the optimum choice of
the labeling in coded modulation schemes employing polar codes are developed. Finally, simulation
results and comparisons regarding the error performance of the proposed schemes on the AWGN
channel are presented.

Vortragender

Johannes Huber received the Dipl.-Ing. degree in electrical engineering from the
Technische Universität München, Munich, Germany in 1977. From 1977 to 1982 he was research
assistant at the Lehrstuhl für Nachrichtentechnik of the Universität der Bundeswehr München,
Munich, from which he received the Dr.-Ing. degree with a thesis on coding for channels with
memory. Since autumn 1991, he is Professor at the Friedrich-Alexander-University Erlangen-
Nuremberg, Germany. His research interests are information and coding theory, modulation
schemes, algorithms for signal detection and adaptive equalization for channels with severe
intersymbol interference, signalling, detection and equalization or multiple-input multiple-output
(MIMO) channels and concatenated coding together with iterative decoding.<br><br>
Johannes Huber is Fellow of the IEEE. He was a member of the board of governors of the IEEE
Information Theory Society from January 1999 to December 2001 and again from January 2004 to
December 2006. In 2008 he was appointed a corresponding fellow of the Royal Society of
Edinburgh. Since 2009 Johannes Huber is an ordinary fellow of the Bavarian Academy of Sciences
and Humanities.